4.5 Article

New results on time scales of pseudo Weyl almost periodic solution of delayed QVSICNNs

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Engineering, Electrical & Electronic

Almost Anti-periodic Solution of Inertial Neural Networks with Leakage and Time-Varying Delays on Timescales

Adnene Arbi et al.

Summary: This paper investigates a class of inertial neural networks with leakages and varying delays on timescales, focusing on the existence, uniqueness, and exponential stability of almost anti-periodic solutions. By constructing Lyapunov functions and applying classical inequalities, sufficient conditions are established to guarantee the main results. A numerical example is provided for illustration.

CIRCUITS SYSTEMS AND SIGNAL PROCESSING (2022)

Article Mathematics, Applied

Weyl almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks with time-varying delays

Yongkun Li et al.

Summary: In this paper, we study the existence, stability, and global exponential stability of Weyl almost periodic solutions for a class of quaternion-valued shunting inhibitory cellular neural networks with time-varying delays. By using the fixed point theorem and a variant of Gronwall inequality, we establish the existence of a bounded continuous solution and prove its Weyl almost periodicity. The global exponential stability of the Weyl almost periodic solution is then analyzed using the inequality technique. The results are also applicable to the degenerate case of a real-valued system. A numerical example is provided to illustrate the feasibility of the results.

AIMS MATHEMATICS (2022)

Article Mathematics, Applied

Stability analysis of inertial neural networks: A case of almost anti-periodic environment

Adnene Arbi et al.

Summary: This paper investigates a class of inertial neural networks with time delays. By employing the approach of differential inequality techniques coupled with Lyapunov function method, the exponential stability of almost anti-periodic solutions for the dynamical system described by the model is demonstrated. Two numerical examples are provided to illustrate the feasibility of the theoretical outcomes.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2022)

Article Mathematics, Applied

WEYL ALMOST PERIODIC FUNCTIONS ON TIME SCALES AND WEYL ALMOST PERIODIC SOLUTIONS OF DYNAMIC EQUATIONS WITH DELAYS

Yongkun Li et al.

Summary: In this paper, the concept of Weyl almost periodic functions on time scales is proposed, and the existence and stability of Weyl almost periodic solutions of a Clifford-valued neural network on time scales are studied.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION (2022)

Review Computer Science, Artificial Intelligence

Convergence analysis on time scales for HOBAM neural networks in the Stepanov-like weighted pseudo almost automorphic space

Adnene Arbi et al.

Summary: This study introduces the concept of Stepanov-like weighted pseudo almost automorphic on time-space scales and a novel model of high-order BAM neural networks with mixed delays. By constructing Lyapunov-Krasovskii functional and applying Banach's fixed-point theorem, new sufficient conditions are obtained for convergence to the Stepanov-like WPAA solution on time-space scales for labeled neural networks. Theoretical outcomes are validated through numerical examples.

NEURAL COMPUTING & APPLICATIONS (2021)

Article Computer Science, Artificial Intelligence

Almost periodic solutions for quaternion-valued neural networks with mixed delays on time scales

Quande Jiang et al.

Summary: This paper investigates a class of quaternion-valued neural networks with mixed delays on time scales. By utilizing general Lipschitz condition, contraction mapping principle, and exponential dichotomy of linear dynamic equations, the existence, uniqueness, and stability of almost periodic solutions of global exponential neural networks are demonstrated. An example is provided to illustrate the efficiency of the theoretical results.

NEUROCOMPUTING (2021)

Article Mathematics, Interdisciplinary Applications

Impact of leakage delay on bifurcation in fractional-order complex-valued neural networks

Changjin Xu et al.

Summary: This paper investigates the stability and the existence of Hopf bifurcation of fractional-order complex-valued neural networks, highlighting the important impact of fractional order and leakage delay on the model's stability and Hopf bifurcation. Suitable numerical simulations are conducted to illustrate theoretical predictions.

CHAOS SOLITONS & FRACTALS (2021)

Article Computer Science, Artificial Intelligence

Synchronization of impulsive coupled complex-valued neural networks with delay: The matrix measure method

Lulu Li et al.

NEURAL NETWORKS (2019)

Article Mathematics, Interdisciplinary Applications

Anti-Periodic Dynamics of Quaternion-Valued Fuzzy Cellular Neural Networks with Time-Varying Delays on Time Scales

Shiping Shen et al.

DISCRETE DYNAMICS IN NATURE AND SOCIETY (2018)

Article Mathematics, Applied

Weyl almost periodic solutions to abstract linear and semilinear equations with Weyl almost periodic coefficients

Fazia Bedouhene et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2018)

Article Computer Science, Artificial Intelligence

Global dissipativity analysis for delayed quaternion-valued neural networks

Zhengwen Tu et al.

NEURAL NETWORKS (2017)

Article Mathematics, Applied

Weak averaging of semilinear stochastic differential equations with almost periodic coefficients

Mikhail Kamenskii et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2015)

Article Mathematics, Applied

Some results on difference polynomials sharing values

Yong Liu et al.

ADVANCES IN DIFFERENCE EQUATIONS (2012)

Article Mathematics, Applied

A note on Weyl pseudo almost automorphic functions and their properties

Syed Abbas

MATHEMATICAL SCIENCES (2012)

Article Mathematics, Interdisciplinary Applications

Almost Periodic Functions on Time Scales and Applications

Yongkun Li et al.

DISCRETE DYNAMICS IN NATURE AND SOCIETY (2011)

Article Computer Science, Artificial Intelligence

Complex and chaotic dynamics in a discrete-time-delayed Hopfield neural network with ring architecture

Eva Kaslik et al.

NEURAL NETWORKS (2009)

Article Mathematics, Applied

Double integral calculus of variations on time scales

Martin Bohner et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2007)

Article Mathematics

Weighted pseudo almost periodic functions and applications

Toka Diagana

COMPTES RENDUS MATHEMATIQUE (2006)